‘Thick’ Reissner—Mindlin plates — irreducible and mixed formulations

作者: O.C. Zienkiewicz , R.L. Taylor , J.Z. Zhu

DOI: 10.1016/B978-075066431-8.50199-5

关键词: Mathematical analysisGeometryMathematicsRobustness (computer science)Elastic continuumFinite element approximations

摘要: This chapter demonstrates how the numerical solution of thick plates can easily be achieved. All equations could equally well derived from full three-dimensional analysis a flat and relatively thin portion an elastic continuum. The simplicity deriving using elements, in which independent interpolation rotations as displacements is postulated shear deformations are included, assures popularity approach. If care used to ensure robustness, elements generally applicable with similar restrictions other finite element approximations requiting C1 continuity limit. ease distortion will make first choice for curved solutions they adapted non-linear material behavior. Extension geometric non-linearity also possible. In this case, effects in-plane forces should included.

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